580080073 has 2 divisors, whose sum is σ = 580080074. Its totient is φ = 580080072.

The previous prime is 580080047. The next prime is 580080077. The reversal of 580080073 is 370080085.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 473845824 + 106234249 = 21768^2 + 10307^2 .

It is a cyclic number.

It is not a de Polignac number, because 580080073 - 2⁵ = 580080041 is a prime.

It is not a weakly prime, because it can be changed into another prime (580080077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 290040036 + 290040037.

It is an arithmetic number, because the mean of its divisors is an integer number (290040037).

Almost surely, 2^580080073 is an apocalyptic number.

It is an amenable number.

580080073 is a deficient number, since it is larger than the sum of its proper divisors (1).

580080073 is an equidigital number, since it uses as much as digits as its factorization.

580080073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 580080073 is about 24084.8515253883. The cubic root of 580080073 is about 833.9934675249.

The spelling of 580080073 in words is "five hundred eighty million, eighty thousand, seventy-three".